Tuning systems for qanun: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>

: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2011-09-~~16 10~~:48:16 UTC</tt>.<br>

: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2011-09-26 07:37:38 UTC</tt>.<br>

: The original revision id was <tt>~~254750304~~</tt>.<br>

: The original revision id was <tt>258183286</tt>.<br>

: The revision comment was: <tt></tt><br>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>

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The tuning tables on this page are specifically designed for the tuning system of the [[qanun]] (see the link for details on the system of tuning and playing a qanun with mandals/orabs).

The possible pitches of a string obtained via raising/lowering the mandals lie within one [[2187_2048|apotome (2187/2048, 113.7 cents)]]. All systems ~~use 8 mandals, allowing a subdivision of~~ the apotome into 7 parts.

The possible pitches of a string obtained via raising/lowering the mandals lie within one [[2187_2048|apotome (2187/2048, 113.7 cents)]], in both directions. All systems divde the apotome into 7 parts, which requires 15 mandals per string (one apotome up and down).

The first rough subdivision of the apotome is always into one [[81_80|syntonic comma (81/80, 21.5 cents)]], one [[25_24|Zarlinian semitone (25/24, 70.7 cents)]] and another syntonic comma. The middle part (25/24, Zarlinian semitone) is then further subdivided into 5 (unequal or equal) parts. The various systems differ mainly in the division of the middle part.

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(used with permission J. J. Weiss/S. Pohlit)

XXX THE FOLLOWING PARTS OF THIS PAGE NEED MAJOR CORRECTIONS XXX

=Explanation of the tuning tables=

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The tuning tables on this page are specifically designed for the tuning system of the <a class="wiki_link" href="/qanun">qanun</a> (see the link for details on the system of tuning and playing a qanun with mandals/orabs).<br />

<br />

The possible pitches of a string obtained via raising/lowering the mandals lie within one <a class="wiki_link" href="/2187_2048">apotome (2187/2048, 113.7 cents)</a>. All systems ~~use 8 mandals, allowing a subdivision of~~ the apotome into 7 parts.<br />

The possible pitches of a string obtained via raising/lowering the mandals lie within one <a class="wiki_link" href="/2187_2048">apotome (2187/2048, 113.7 cents)</a>, in both directions. All systems divde the apotome into 7 parts, which requires 15 mandals per string (one apotome up and down).<br />

<br />

The first rough subdivision of the apotome is always into one <a class="wiki_link" href="/81_80">syntonic comma (81/80, 21.5 cents)</a>, one <a class="wiki_link" href="/25_24">Zarlinian semitone (25/24, 70.7 cents)</a> and another syntonic comma. The middle part (25/24, Zarlinian semitone) is then further subdivided into 5 (unequal or equal) parts. The various systems differ mainly in the division of the middle part.<br />

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(used with permission J. J. Weiss/S. Pohlit)<br />

<br />

XXX THE FOLLOWING PARTS OF THIS PAGE NEED MAJOR CORRECTIONS XXX<br />

<br />

<h1 id="toc1"><a name="Explanation of the tuning tables"></a>Explanation of the tuning tables</h1>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2011-09-16 10:48:16 UTC</tt>.<br>
+: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2011-09-26 07:37:38 UTC</tt>.<br>
-: The original revision id was <tt>254750304</tt>.<br>
+: The original revision id was <tt>258183286</tt>.<br>
 : The revision comment was: <tt></tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
@@ Line 15: / Line 15: @@
 The tuning tables on this page are specifically designed for the tuning system of the [[qanun]] (see the link for details on the system of tuning and playing a qanun with mandals/orabs).
-The possible pitches of a string obtained via raising/lowering the mandals lie within one [[2187_2048|apotome (2187/2048, 113.7 cents)]]. All systems use 8 mandals, allowing a subdivision of the apotome into 7 parts.
+The possible pitches of a string obtained via raising/lowering the mandals lie within one [[2187_2048|apotome (2187/2048, 113.7 cents)]], in both directions. All systems divde the apotome into 7 parts, which requires 15 mandals per string (one apotome up and down).
 The first rough subdivision of the apotome is always into one [[81_80|syntonic comma (81/80, 21.5 cents)]], one [[25_24|Zarlinian semitone (25/24, 70.7 cents)]] and another syntonic comma. The middle part (25/24, Zarlinian semitone) is then further subdivided into 5 (unequal or equal) parts. The various systems differ mainly in the division of the middle part.
@@ Line 26: / Line 26: @@
 (used with permission J. J. Weiss/S. Pohlit)
+XXX THE FOLLOWING PARTS OF THIS PAGE NEED MAJOR CORRECTIONS XXX
 =Explanation of the tuning tables=
@@ Line 262: / Line 267: @@
 The tuning tables on this page are specifically designed for the tuning system of the &lt;a class="wiki_link" href="/qanun"&gt;qanun&lt;/a&gt; (see the link for details on the system of tuning and playing a qanun with mandals/orabs).&lt;br /&gt;
 &lt;br /&gt;
-The possible pitches of a string obtained via raising/lowering the mandals lie within one &lt;a class="wiki_link" href="/2187_2048"&gt;apotome (2187/2048, 113.7 cents)&lt;/a&gt;. All systems use 8 mandals, allowing a subdivision of the apotome into 7 parts.&lt;br /&gt;
+The possible pitches of a string obtained via raising/lowering the mandals lie within one &lt;a class="wiki_link" href="/2187_2048"&gt;apotome (2187/2048, 113.7 cents)&lt;/a&gt;, in both directions. All systems divde the apotome into 7 parts, which requires 15 mandals per string (one apotome up and down).&lt;br /&gt;
 &lt;br /&gt;
 The first rough subdivision of the apotome is always into one &lt;a class="wiki_link" href="/81_80"&gt;syntonic comma (81/80, 21.5 cents)&lt;/a&gt;, one &lt;a class="wiki_link" href="/25_24"&gt;Zarlinian semitone (25/24, 70.7 cents)&lt;/a&gt; and another syntonic comma. The middle part (25/24, Zarlinian semitone) is then further subdivided into 5 (unequal or equal) parts. The various systems differ mainly in the division of the middle part.&lt;br /&gt;
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 &lt;br /&gt;
 (used with permission J. J. Weiss/S. Pohlit)&lt;br /&gt;
+&lt;br /&gt;
+&lt;br /&gt;
+&lt;br /&gt;
+&lt;br /&gt;
+XXX THE FOLLOWING PARTS OF THIS PAGE NEED MAJOR CORRECTIONS XXX&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Explanation of the tuning tables"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Explanation of the tuning tables&lt;/h1&gt;